factor the trinomial.

\2v^4 + 14v^3 - 60v^2 = \

Question

factor the trinomial.

\2v^4 + 14v^3 - 60v^2 = \

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Greatest Common Factor", "Factoring Polynomials" ], "new_concepts": [], "current_concepts": [ "Greatest Common Factor", "Factoring Polynomials" ] } ## Factor out the greatest common factor $$ 2v^4 + 14v^3 - 60v^2 = 2v^2(v^2 + 7v - 30) $$ ## Factor the remaining quadratic trinomial $$ \begin{aligned} &v^2 + 7v - 30 = (v + 10)(v - 3) \end{aligned} $$ ## Combine all factored parts $$ 2v^4 + 14v^3 - 60v^2 = 2v^2(v + 10)(v - 3) $$ Factor the trinomial. $2v^4 + 14v^3 - 60v^2 =$ $2v^2(v + 10)(v - 3)$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Polynomials" ] }

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QUESTION IMAGE

Question

Explanation:

Factor out the greatest common factor

Factor the remaining quadratic trinomial

Combine all factored parts

Answer: